412234000 has 80 divisors (see below), whose sum is σ = 1015850160. Its totient is φ = 161740800.

The previous prime is 412233971. The next prime is 412234033. The reversal of 412234000 is 432214.

It can be written as a sum of positive squares in 8 ways, for example, as 55175184 + 357058816 = 7428^2 + 18896^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104056 + ... + 107944.

It is an arithmetic number, because the mean of its divisors is an integer number (12698127).

Almost surely, 2^412234000 is an apocalyptic number.

412234000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507925080).

412234000 is an abundant number, since it is smaller than the sum of its proper divisors (603616160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

412234000 is a wasteful number, since it uses less digits than its factorization.

412234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3965 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 412234000 is about 20303.5464882370. The cubic root of 412234000 is about 744.2427330699.

Adding to 412234000 its reverse (432214), we get a palindrome (412666214).

The spelling of 412234000 in words is "four hundred twelve million, two hundred thirty-four thousand".